This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


## NULL
**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


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**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


## NULL
**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 26.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 27.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 35.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 36.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3492823

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.05 while 0.95 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

11

1

1

0.449

0.447

0.201

0.693

1.016

0.127

0.016

CSEO

p_pelagic

11

1

2

0.383

0.378

0.160

0.631

1.017

0.122

0.041

CSEO

p_pelagic

11

10

2

0.383

0.375

0.166

0.638

1.011

0.125

0.064

CSEO

p_pelagic

11

11

1

0.447

0.443

0.211

0.694

1.014

0.127

0.032

CSEO

p_pelagic

11

12

1

0.447

0.447

0.211

0.692

1.015

0.126

0.000

CSEO

p_pelagic

11

17

1

0.456

0.458

0.229

0.691

1.011

0.119

-0.017

CSEO

p_pelagic

11

2

1

0.447

0.446

0.206

0.694

1.017

0.129

0.008

CSEO

p_pelagic

11

2

2

0.387

0.381

0.162

0.638

1.011

0.125

0.048

CSEO

p_pelagic

11

3

1

0.445

0.443

0.201

0.696

1.016

0.129

0.016

CSEO

p_pelagic

11

3

2

0.383

0.376

0.162

0.628

1.015

0.121

0.058

CSEO

p_pelagic

11

4

1

0.447

0.443

0.198

0.709

1.014

0.132

0.030

CSEO

p_pelagic

11

4

2

0.379

0.373

0.155

0.644

1.016

0.127

0.047

CSEO

p_pelagic

11

5

1

0.446

0.444

0.204

0.696

1.011

0.128

0.016

CSEO

p_pelagic

11

5

2

0.381

0.375

0.160

0.637

1.013

0.123

0.049

CSEO

p_pelagic

11

6

1

0.445

0.445

0.200

0.695

1.012

0.128

0.000

CSEO

p_pelagic

11

6

2

0.384

0.376

0.163

0.638

1.017

0.124

0.065

CSEO

p_pelagic

11

7

1

0.447

0.450

0.205

0.699

1.013

0.129

-0.023

CSEO

p_pelagic

11

7

2

0.383

0.374

0.164

0.647

1.017

0.125

0.072

CSEO

p_pelagic

11

9

1

0.447

0.450

0.209

0.702

1.020

0.129

-0.023

CSEO

p_pelagic

13

1

1

0.490

0.499

0.191

0.746

1.062

0.147

-0.061

NSEI

p_pelagic

13

1

2

0.274

0.263

0.070

0.535

1.034

0.121

0.091

NSEI

p_pelagic

13

10

1

0.495

0.503

0.209

0.747

1.042

0.143

-0.056

NSEI

p_pelagic

13

10

2

0.274

0.264

0.085

0.524

1.032

0.116

0.087

NSEI

p_pelagic

13

11

1

0.491

0.497

0.217

0.747

1.050

0.140

-0.043

NSEI

p_pelagic

13

11

2

0.276

0.265

0.082

0.523

1.034

0.116

0.095

NSEI

p_pelagic

13

12

1

0.494

0.499

0.213

0.747

1.046

0.142

-0.035

NSEI

p_pelagic

13

12

2

0.282

0.272

0.090

0.526

1.025

0.115

0.087

NSEI

p_pelagic

13

13

1

0.495

0.499

0.221

0.748

1.042

0.138

-0.029

NSEI

p_pelagic

13

13

2

0.280

0.268

0.089

0.525

1.030

0.115

0.104

NSEI

p_pelagic

13

14

1

0.486

0.488

0.227

0.747

1.033

0.134

-0.015

NSEI

p_pelagic

13

14

2

0.276

0.267

0.093

0.533

1.022

0.113

0.080

NSEI

p_pelagic

13

15

1

0.467

0.468

0.198

0.738

1.039

0.141

-0.007

NSEI

p_pelagic

13

15

2

0.265

0.253

0.094

0.507

1.021

0.109

0.110

NSEI

p_pelagic

13

16

1

0.487

0.487

0.229

0.737

1.027

0.136

0.000

NSEI

p_pelagic

13

16

2

0.277

0.267

0.099

0.520

1.029

0.111

0.090

NSEI

p_pelagic

13

17

1

0.499

0.505

0.236

0.746

1.013

0.133

-0.045

NSEI

p_pelagic

13

17

2

0.286

0.274

0.103

0.540

1.013

0.114

0.105

NSEI

p_pelagic

13

18

1

0.504

0.506

0.251

0.746

1.023

0.129

-0.015

NSEI

p_pelagic

13

18

2

0.285

0.276

0.108

0.534

1.012

0.110

0.082

NSEI

p_pelagic

13

19

1

0.498

0.497

0.247

0.749

1.018

0.132

0.008

NSEI

p_pelagic

13

19

2

0.285

0.271

0.108

0.534

1.014

0.112

0.125

NSEI

p_pelagic

13

2

1

0.486

0.495

0.194

0.749

1.083

0.149

-0.060

NSEI

p_pelagic

13

2

2

0.272

0.267

0.072

0.528

1.041

0.117

0.043

NSEI

p_pelagic

13

20

2

0.290

0.279

0.113

0.533

1.013

0.110

0.100

NSEI

p_pelagic

13

21

1

0.512

0.513

0.267

0.755

1.010

0.128

-0.008

NSEI

p_pelagic

13

3

1

0.489

0.498

0.187

0.751

1.071

0.149

-0.061

NSEI

p_pelagic

13

3

2

0.273

0.264

0.072

0.534

1.048

0.121

0.075

NSEI

p_pelagic

13

4

1

0.487

0.495

0.186

0.745

1.060

0.148

-0.054

NSEI

p_pelagic

13

4

2

0.271

0.263

0.075

0.517

1.041

0.117

0.068

NSEI

p_pelagic

13

5

1

0.491

0.497

0.189

0.758

1.065

0.147

-0.041

NSEI

p_pelagic

13

5

2

0.275

0.263

0.072

0.538

1.048

0.122

0.098

NSEI

p_pelagic

13

6

1

0.490

0.497

0.192

0.758

1.067

0.149

-0.047

NSEI

p_pelagic

13

6

2

0.273

0.260

0.076

0.535

1.037

0.121

0.108

NSEI

p_pelagic

13

7

1

0.486

0.496

0.194

0.747

1.067

0.145

-0.069

NSEI

p_pelagic

13

7

2

0.279

0.266

0.079

0.536

1.040

0.119

0.109

NSEI

p_pelagic

13

8

1

0.493

0.501

0.195

0.752

1.069

0.146

-0.055

NSEI

p_pelagic

13

8

2

0.274

0.261

0.079

0.535

1.036

0.120

0.109

NSEI

p_pelagic

13

9

1

0.492

0.502

0.201

0.754

1.061

0.145

-0.069

NSEI

p_pelagic

13

9

2

0.276

0.268

0.077

0.526

1.036

0.117

0.069

NSEI

p_pelagic

14

1

1

0.362

0.351

0.160

0.622

1.010

0.122

0.090

NSEO

p_pelagic

14

12

2

0.338

0.330

0.134

0.601

1.011

0.121

0.066

NSEO

p_pelagic

14

15

1

0.350

0.342

0.150

0.590

1.010

0.116

0.069

NSEO

p_pelagic

14

3

1

0.362

0.358

0.154

0.616

1.011

0.122

0.033

NSEO

p_pelagic

14

5

1

0.360

0.350

0.155

0.613

1.012

0.120

0.083

NSEO

p_black

14

5

1

0.925

0.945

0.746

0.989

1.011

0.064

-0.313

NSEO

p_pelagic

14

6

1

0.356

0.347

0.148

0.614

1.012

0.119

0.075

NSEO

p_pelagic

14

7

1

0.362

0.355

0.154

0.612

1.011

0.120

0.058

NSEO

p_pelagic

14

9

1

0.365

0.357

0.154

0.614

1.012

0.122

0.066

NSEO

p_pelagic

16

1

1

0.436

0.435

0.184

0.700

1.019

0.135

0.007

SSEO

p_pelagic

16

1

2

0.380

0.369

0.137

0.659

1.018

0.135

0.081

SSEO

p_pelagic

16

10

1

0.441

0.441

0.179

0.716

1.021

0.140

0.000

SSEO

p_pelagic

16

11

1

0.442

0.444

0.184

0.703

1.016

0.136

-0.015

SSEO

p_pelagic

16

12

1

0.439

0.437

0.182

0.715

1.014

0.138

0.015

SSEO

p_pelagic

16

13

1

0.443

0.444

0.191

0.704

1.016

0.135

-0.007

SSEO

p_pelagic

16

14

1

0.439

0.435

0.195

0.702

1.015

0.134

0.030

SSEO

p_pelagic

16

14

2

0.388

0.381

0.158

0.650

1.012

0.131

0.053

SSEO

p_pelagic

16

15

1

0.442

0.439

0.194

0.709

1.014

0.134

0.022

SSEO

p_pelagic

16

16

1

0.442

0.440

0.201

0.694

1.012

0.130

0.015

SSEO

p_pelagic

16

17

1

0.479

0.480

0.224

0.732

1.013

0.131

-0.008

SSEO

p_pelagic

16

18

1

0.467

0.464

0.226

0.718

1.010

0.129

0.023

SSEO

p_pelagic

16

2

1

0.438

0.437

0.187

0.701

1.019

0.135

0.007

SSEO

p_pelagic

16

2

2

0.381

0.374

0.145

0.645

1.017

0.134

0.052

SSEO

p_pelagic

16

3

1

0.438

0.437

0.179

0.708

1.034

0.138

0.007

SSEO

p_pelagic

16

3

2

0.379

0.374

0.141

0.650

1.010

0.132

0.038

SSEO

p_pelagic

16

4

1

0.439

0.437

0.180

0.712

1.029

0.138

0.014

SSEO

p_pelagic

16

4

2

0.383

0.375

0.147

0.648

1.021

0.134

0.060

SSEO

p_pelagic

16

42

1

0.833

0.833

0.826

0.840

1.035

0.003

0.000

SSEO

p_yellow

16

42

1

0.407

0.407

0.385

0.429

1.020

0.011

0.000

SSEO

p_dsr

16

42

1

0.442

0.437

0.405

0.501

1.465

0.025

0.201

SSEO

p_slope

16

42

1

0.175

0.182

0.113

0.208

1.594

0.025

-0.277

SSEO

p_pelagic

16

5

1

0.441

0.439

0.195

0.712

1.013

0.137

0.015

SSEO

p_pelagic

16

6

1

0.435

0.435

0.175

0.695

1.018

0.136

0.000

SSEO

p_pelagic

16

6

2

0.382

0.376

0.143

0.653

1.019

0.134

0.045

SSEO

p_pelagic

16

7

1

0.438

0.439

0.180

0.702

1.023

0.136

-0.007

SSEO

p_pelagic

16

7

2

0.380

0.372

0.145

0.645

1.015

0.131

0.061

SSEO

p_pelagic

16

8

1

0.439

0.437

0.187

0.703

1.015

0.136

0.015

SSEO

p_pelagic

16

8

2

0.384

0.378

0.149

0.648

1.012

0.132

0.045

SSEO

p_pelagic

16

9

1

0.438

0.435

0.180

0.717

1.024

0.139

0.022

SSEO

p_pelagic

3

1

1

0.545

0.548

0.295

0.783

1.018

0.128

-0.023

PWSI

p_pelagic

3

1

2

0.191

0.179

0.066

0.395

1.011

0.084

0.143

PWSI

p_pelagic

3

10

1

0.541

0.543

0.294

0.776

1.017

0.125

-0.016

PWSI

p_pelagic

3

10

2

0.190

0.176

0.066

0.382

1.015

0.082

0.170

PWSI

p_pelagic

3

11

1

0.542

0.547

0.280

0.784

1.023

0.130

-0.038

PWSI

p_pelagic

3

11

2

0.191

0.179

0.069

0.374

1.013

0.082

0.147

PWSI

p_pelagic

3

12

1

0.542

0.548

0.287

0.777

1.019

0.127

-0.047

PWSI

p_pelagic

3

12

2

0.190

0.178

0.068

0.389

1.017

0.082

0.147

PWSI

p_pelagic

3

13

1

0.541

0.546

0.290

0.777

1.016

0.127

-0.040

PWSI

p_pelagic

3

13

2

0.188

0.178

0.066

0.382

1.017

0.081

0.124

PWSI

p_pelagic

3

14

1

0.549

0.554

0.298

0.783

1.023

0.126

-0.040

PWSI

p_pelagic

3

15

1

0.537

0.540

0.285

0.768

1.020

0.127

-0.024

PWSI

p_pelagic

3

15

2

0.185

0.170

0.065

0.384

1.018

0.083

0.180

PWSI

p_pelagic

3

16

1

0.542

0.546

0.290

0.769

1.014

0.126

-0.032

PWSI

p_pelagic

3

16

2

0.189

0.175

0.070

0.379

1.024

0.079

0.176

PWSI

p_pelagic

3

17

1

0.541

0.545

0.292

0.780

1.029

0.128

-0.031

PWSI

p_pelagic

3

17

2

0.189

0.177

0.068

0.378

1.020

0.081

0.148

PWSI

p_pelagic

3

18

1

0.541

0.544

0.288

0.772

1.022

0.125

-0.024

PWSI

p_pelagic

3

18

2

0.191

0.180

0.073

0.380

1.020

0.081

0.136

PWSI

p_pelagic

3

19

1

0.544

0.547

0.303

0.775

1.017

0.125

-0.024

PWSI

p_pelagic

3

2

1

0.540

0.540

0.289

0.778

1.019

0.127

0.000

PWSI

p_pelagic

3

2

2

0.188

0.176

0.067

0.383

1.016

0.081

0.148

PWSI

p_pelagic

3

3

1

0.540

0.546

0.282

0.774

1.029

0.127

-0.047

PWSI

p_pelagic

3

3

2

0.188

0.174

0.069

0.378

1.013

0.082

0.170

PWSI

p_pelagic

3

4

1

0.546

0.546

0.297

0.784

1.012

0.125

0.000

PWSI

p_pelagic

3

4

2

0.188

0.176

0.065

0.383

1.012

0.082

0.147

PWSI

p_pelagic

3

5

1

0.546

0.547

0.289

0.783

1.012

0.130

-0.008

PWSI

p_pelagic

3

5

2

0.188

0.175

0.069

0.378

1.020

0.081

0.161

PWSI

p_pelagic

3

6

1

0.545

0.546

0.293

0.785

1.023

0.126

-0.008

PWSI

p_pelagic

3

6

2

0.189

0.177

0.067

0.382

1.020

0.082

0.147

PWSI

p_pelagic

3

7

1

0.540

0.541

0.286

0.776

1.026

0.129

-0.008

PWSI

p_pelagic

3

7

2

0.190

0.179

0.066

0.383

1.024

0.083

0.133

PWSI

p_pelagic

3

8

1

0.537

0.536

0.294

0.766

1.015

0.125

0.008

PWSI

p_pelagic

3

8

2

0.188

0.175

0.066

0.392

1.016

0.084

0.154

PWSI

p_pelagic

3

9

1

0.540

0.545

0.281

0.772

1.021

0.127

-0.039

PWSI

p_pelagic

3

9

2

0.191

0.178

0.071

0.386

1.012

0.081

0.160

PWSI

p_black

8

40

1

0.747

0.915

0.348

0.966

1.026

0.252

-0.668

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

tau_beta0_pH

1

1

6.007

4.060

0.786

22.555

1.126

7.245

0.269

CI

beta2_pH

1

1

2.498

0.814

0.093

15.356

1.131

3.970

0.424

CI

beta0_pelagic

11

-0.237

-0.199

-0.948

0.184

1.189

0.266

-0.143

CSEO

beta1_pelagic

11

1.272

1.195

0.831

2.507

1.276

0.387

0.199

CSEO

beta3_pelagic

11

29.929

29.957

27.269

32.458

1.109

1.317

-0.021

CSEO

beta0_pelagic

13

-0.091

0.057

-1.316

0.453

1.273

0.479

-0.309

NSEI

beta1_pelagic

13

1.670

1.471

0.583

3.347

1.175

0.808

0.246

NSEI

beta3_pelagic

13

35.606

36.039

26.562

41.481

1.109

3.789

-0.114

NSEI

beta1_pelagic

14

2.385

2.174

1.458

3.880

1.142

0.702

0.300

NSEO

beta1_pelagic

15

0.592

0.548

0.113

1.443

1.110

0.356

0.124

SSEI

beta3_pelagic

15

40.003

40.864

30.208

42.788

1.167

3.179

-0.271

SSEI

beta1_pelagic

16

1.477

1.386

0.718

2.679

1.124

0.519

0.175

SSEO

tau_beta2_pH

2

1

0.455

0.107

0.042

2.470

1.125

2.554

0.136

NG

mu_beta2_pH

3

1

1.088

0.916

0.543

3.053

1.111

0.943

0.182

PWSI

beta0_pelagic

3

0.181

0.198

-0.278

0.571

1.148

0.224

-0.076

PWSI

beta1_pelagic

3

0.704

0.688

0.266

1.196

1.107

0.237

0.067

PWSI

beta1_pH

8

1

2.104

2.035

1.325

3.422

1.144

0.539

0.128

afognak

beta3_pH

8

1

34.646

34.428

29.814

40.133

1.106

2.800

0.078

afognak

lambda_H

15

0.021

0.014

0.003

0.065

1.272

0.089

0.079

SSEI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

731.00

266.00

1,172.00

347.00

Prop. of total

0.73

0.27

0.77

0.23

Prop. median less than 1

0.23

0.18

0.33

0.38

Prop. median less than 10

0.33

0.44

0.56

0.73

Prop. median less than 50

0.44

0.65

0.69

0.87

Median of the median values

116.77

15.94

5.59

2.07

Mean of the median values

956.80

467.99

238.10

104.14

Mean skew of posteriors

0.22

0.28

0.26

0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

7.00

14.00

97.00

56.00

Prop. of total

0.33

0.67

0.63

0.37

Prop. median less than 1

0.71

0.71

0.79

0.61

Prop. median less than 10

1.00

0.86

0.92

0.88

Prop. median less than 50

1.00

1.00

0.98

1.00

Median of the median values

0.03

0.54

0.01

0.38

Mean of the median values

0.63

3.86

2.76

3.25

Mean skew of posteriors

0.26

0.21

0.13

0.16

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_pelagic

3

beta1_pelagic

5

beta1_pH

1

beta2_pH

1

beta3_pelagic

1

H_ayg

1

H_ayu

1

Hb_ayg

1

Hb_ayu

1

Hd_ayg

1

Ho_ay

3

Ho_ayg

2

Ho_ayu

8

Hp_ay

1

Hp_ayg

1

Hp_ayu

1

Hs_ay

1

Hs_ayg

1

Hs_ayu

2

Hy_ay

4

Hy_ayg

1

Hy_ayu

4

lambda_H

1

mu_beta2_pH

1

p_dsr

1

p_slope

4

pH

2

R_ay

2

R_ayg

2

R_ayu

2

Rb_ay

1

Rb_ayg

1

Rb_ayu

2

Rd_ay

2

Rd_ayg

1

Rd_ayu

2

re_pelagic

2

re_pH

1

re_slope

1

Ro_ay

24

Ro_ayg

11

Ro_ayu

45

Rp_ay

1

Rp_ayg

1

Rp_ayu

2

Rs_ay

11

Rs_ayg

11

Rs_ayu

32

Ry_ay

33

Ry_ayg

9

Ry_ayu

57

tau_beta0_pH

1

tau_beta2_pH

1

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.015 0.070 -0.146 -0.018 0.127
mu_bc_H[2] 0.067 0.053 -0.031 0.064 0.177
mu_bc_H[3] -0.311 0.068 -0.442 -0.312 -0.173
mu_bc_H[4] -0.918 0.178 -1.275 -0.911 -0.587
mu_bc_H[5] 1.501 1.291 0.156 1.178 5.042
mu_bc_H[6] -2.335 0.335 -2.987 -2.337 -1.676
mu_bc_H[7] -0.440 0.101 -0.641 -0.438 -0.248
mu_bc_H[8] 0.306 0.368 -0.275 0.266 1.125
mu_bc_H[9] -0.240 0.122 -0.480 -0.240 0.017
mu_bc_H[10] 0.088 0.067 -0.037 0.087 0.224
mu_bc_H[11] -0.126 0.036 -0.198 -0.126 -0.053
mu_bc_H[12] -0.249 0.106 -0.477 -0.244 -0.049
mu_bc_H[13] -0.158 0.071 -0.294 -0.158 -0.017
mu_bc_H[14] -0.308 0.089 -0.488 -0.306 -0.141
mu_bc_H[15] -0.329 0.048 -0.422 -0.329 -0.232
mu_bc_H[16] -0.305 0.364 -0.947 -0.330 0.465
mu_bc_R[1] 0.995 0.123 0.753 0.995 1.228
mu_bc_R[2] 1.005 0.073 0.858 1.007 1.142
mu_bc_R[3] 0.277 0.088 0.105 0.278 0.451
mu_bc_R[4] 0.659 0.196 0.264 0.669 1.023
mu_bc_R[5] 1.535 0.389 0.767 1.534 2.270
mu_bc_R[6] -1.484 0.395 -2.228 -1.498 -0.684
mu_bc_R[7] 0.409 0.197 -0.002 0.415 0.800
mu_bc_R[8] 0.634 0.149 0.335 0.632 0.934
mu_bc_R[9] 0.379 0.167 0.019 0.386 0.682
mu_bc_R[10] 0.855 0.111 0.641 0.853 1.078
mu_bc_R[11] 1.084 0.070 0.944 1.084 1.222
mu_bc_R[12] 0.832 0.162 0.510 0.834 1.150
mu_bc_R[13] 1.097 0.089 0.924 1.099 1.272
mu_bc_R[14] 0.905 0.117 0.671 0.906 1.128
mu_bc_R[15] 0.823 0.101 0.618 0.823 1.014
mu_bc_R[16] 1.449 0.099 1.250 1.450 1.647
tau_pH[1] 3.227 0.235 2.804 3.219 3.714
tau_pH[2] 1.640 0.151 1.359 1.631 1.951
tau_pH[3] 1.478 0.138 1.223 1.471 1.767
tau_pH[4] 1.319 0.171 1.010 1.312 1.687
tau_pH[5] 0.640 0.109 0.450 0.632 0.866
beta0_pH[1,1,1] 0.380 0.200 -0.061 0.398 0.731
beta0_pH[2,1,1] 1.166 0.222 0.694 1.171 1.569
beta0_pH[3,1,1] 0.822 0.441 -0.138 0.840 1.554
beta0_pH[4,1,1] 1.128 0.406 0.339 1.153 1.823
beta0_pH[5,1,1] -0.714 0.288 -1.345 -0.697 -0.202
beta0_pH[6,1,1] -0.393 0.299 -1.096 -0.352 0.075
beta0_pH[7,1,1] 0.703 0.121 0.477 0.701 0.943
beta0_pH[8,1,1] -0.581 0.270 -1.186 -0.570 -0.116
beta0_pH[9,1,1] -0.274 0.243 -0.785 -0.256 0.175
beta0_pH[10,1,1] 0.251 0.202 -0.163 0.249 0.643
beta0_pH[11,1,1] -0.096 0.188 -0.463 -0.093 0.259
beta0_pH[12,1,1] 0.549 0.209 0.131 0.556 0.952
beta0_pH[13,1,1] 0.007 0.164 -0.340 0.007 0.320
beta0_pH[14,1,1] -0.263 0.203 -0.668 -0.265 0.121
beta0_pH[15,1,1] -0.055 0.195 -0.444 -0.049 0.304
beta0_pH[16,1,1] -0.156 0.201 -0.582 -0.150 0.217
beta0_pH[1,2,1] 0.113 0.181 -0.251 0.121 0.443
beta0_pH[2,2,1] 0.546 0.112 0.333 0.546 0.765
beta0_pH[3,2,1] 0.450 0.117 0.226 0.448 0.679
beta0_pH[4,2,1] 0.611 0.230 0.090 0.640 0.983
beta0_pH[5,2,1] -0.123 0.536 -1.278 -0.096 0.837
beta0_pH[6,2,1] -0.198 0.515 -1.332 -0.171 0.723
beta0_pH[7,2,1] -0.266 0.574 -1.566 -0.232 0.747
beta0_pH[8,2,1] -0.123 0.172 -0.464 -0.125 0.213
beta0_pH[9,2,1] 0.148 0.168 -0.175 0.144 0.482
beta0_pH[10,2,1] -0.213 0.120 -0.443 -0.215 0.017
beta0_pH[11,2,1] 0.156 0.284 -0.414 0.156 0.675
beta0_pH[12,2,1] 0.632 0.426 -0.167 0.647 1.400
beta0_pH[13,2,1] 0.190 0.298 -0.430 0.197 0.777
beta0_pH[14,2,1] 0.005 0.312 -0.623 -0.002 0.631
beta0_pH[15,2,1] 0.384 0.393 -0.330 0.363 1.193
beta0_pH[16,2,1] 1.320 0.804 -0.123 1.441 2.637
beta0_pH[1,1,2] 2.526 0.220 2.089 2.528 2.958
beta0_pH[2,1,2] 2.946 0.184 2.588 2.945 3.307
beta0_pH[3,1,2] 3.449 0.201 3.068 3.443 3.852
beta0_pH[4,1,2] 3.231 0.181 2.868 3.231 3.596
beta0_pH[5,1,2] 4.475 1.295 2.681 4.252 7.676
beta0_pH[6,1,2] 3.315 0.256 2.815 3.310 3.830
beta0_pH[7,1,2] 1.976 0.232 1.527 1.974 2.427
beta0_pH[8,1,2] 2.824 0.217 2.398 2.824 3.243
beta0_pH[9,1,2] 3.907 0.288 3.342 3.900 4.474
beta0_pH[10,1,2] 3.890 0.247 3.394 3.889 4.374
beta0_pH[11,1,2] 1.919 0.186 1.541 1.917 2.282
beta0_pH[12,1,2] 1.809 0.210 1.406 1.809 2.217
beta0_pH[13,1,2] 2.490 0.194 2.107 2.492 2.867
beta0_pH[14,1,2] 1.912 0.185 1.559 1.909 2.276
beta0_pH[15,1,2] 2.460 0.206 2.054 2.459 2.855
beta0_pH[16,1,2] 2.638 0.207 2.225 2.641 3.044
beta0_pH[1,2,2] 1.894 0.715 0.378 1.924 3.204
beta0_pH[2,2,2] 1.783 0.266 1.254 1.785 2.290
beta0_pH[3,2,2] 1.931 0.247 1.438 1.933 2.407
beta0_pH[4,2,2] 2.310 0.287 1.771 2.311 2.866
beta0_pH[5,2,2] 3.383 1.514 0.539 3.307 6.638
beta0_pH[6,2,2] 3.395 1.494 0.458 3.357 6.791
beta0_pH[7,2,2] 3.410 1.529 0.533 3.327 6.808
beta0_pH[8,2,2] 4.287 1.310 2.407 4.028 7.536
beta0_pH[9,2,2] 3.928 1.353 1.900 3.720 7.229
beta0_pH[10,2,2] 2.518 0.366 1.816 2.508 3.244
beta0_pH[11,2,2] 2.586 0.223 2.155 2.587 3.029
beta0_pH[12,2,2] 1.483 0.453 0.593 1.486 2.354
beta0_pH[13,2,2] 2.674 0.229 2.210 2.672 3.125
beta0_pH[14,2,2] 1.906 0.229 1.453 1.906 2.361
beta0_pH[15,2,2] 2.626 0.211 2.213 2.629 3.035
beta0_pH[16,2,2] 3.438 0.333 2.822 3.432 4.126
beta0_pH[1,1,3] 0.702 0.651 -1.308 0.854 1.495
beta0_pH[2,1,3] 2.077 0.210 1.673 2.078 2.485
beta0_pH[3,1,3] 2.667 0.199 2.278 2.668 3.058
beta0_pH[4,1,3] 3.030 0.211 2.621 3.029 3.432
beta0_pH[5,1,3] 2.375 1.291 0.572 2.152 5.462
beta0_pH[6,1,3] 1.238 0.406 0.494 1.215 2.070
beta0_pH[7,1,3] 0.504 0.218 0.093 0.495 0.952
beta0_pH[8,1,3] 0.262 0.251 -0.237 0.265 0.751
beta0_pH[9,1,3] -1.685 0.642 -3.001 -1.664 -0.516
beta0_pH[10,1,3] -0.303 0.699 -1.874 -0.230 0.858
beta0_pH[11,1,3] 1.040 0.375 0.314 1.027 1.817
beta0_pH[12,1,3] 0.924 0.451 0.084 0.894 1.945
beta0_pH[13,1,3] 0.773 0.365 -0.018 0.792 1.448
beta0_pH[14,1,3] 0.579 0.372 -0.249 0.614 1.191
beta0_pH[15,1,3] 0.833 0.328 0.161 0.838 1.468
beta0_pH[16,1,3] 1.042 0.448 0.217 1.009 2.054
beta0_pH[1,2,3] 1.110 0.533 0.073 1.108 2.164
beta0_pH[2,2,3] 0.224 0.259 -0.278 0.219 0.738
beta0_pH[3,2,3] 0.544 0.235 0.100 0.540 1.018
beta0_pH[4,2,3] 0.590 0.300 -0.001 0.591 1.167
beta0_pH[5,2,3] 0.377 1.728 -2.805 0.245 4.285
beta0_pH[6,2,3] 0.242 1.839 -3.133 0.138 4.261
beta0_pH[7,2,3] 0.113 1.839 -3.548 0.137 3.766
beta0_pH[8,2,3] -0.402 1.076 -2.701 -0.356 1.577
beta0_pH[9,2,3] 0.304 1.880 -3.543 0.275 4.119
beta0_pH[10,2,3] -0.105 0.342 -0.779 -0.099 0.562
beta0_pH[11,2,3] 0.811 0.315 0.053 0.849 1.301
beta0_pH[12,2,3] 0.835 0.317 0.174 0.855 1.396
beta0_pH[13,2,3] 1.045 0.379 0.359 1.012 1.874
beta0_pH[14,2,3] 0.761 0.347 0.020 0.784 1.391
beta0_pH[15,2,3] 0.790 0.351 0.026 0.804 1.438
beta0_pH[16,2,3] 0.923 0.396 0.127 0.912 1.724
beta0_pH[11,1,4] 0.838 0.334 0.173 0.836 1.518
beta0_pH[12,1,4] 0.704 0.403 -0.167 0.722 1.433
beta0_pH[13,1,4] 0.701 0.386 -0.160 0.717 1.378
beta0_pH[14,1,4] 0.575 0.444 -0.400 0.632 1.249
beta0_pH[15,1,4] 0.683 0.329 -0.021 0.696 1.317
beta0_pH[16,1,4] 0.813 0.401 0.030 0.812 1.626
beta0_pH[11,2,4] 0.603 0.342 -0.172 0.634 1.191
beta0_pH[12,2,4] 0.705 0.327 0.038 0.712 1.329
beta0_pH[13,2,4] 0.874 0.347 0.187 0.874 1.558
beta0_pH[14,2,4] 0.664 0.342 -0.067 0.679 1.295
beta0_pH[15,2,4] 0.667 0.355 -0.105 0.687 1.286
beta0_pH[16,2,4] 0.789 0.380 0.046 0.784 1.593
beta0_pH[11,1,5] 2.713 0.350 2.024 2.711 3.400
beta0_pH[12,1,5] -0.909 0.514 -1.895 -0.927 0.113
beta0_pH[13,1,5] 3.202 0.540 2.168 3.195 4.278
beta0_pH[14,1,5] 3.565 0.483 2.654 3.553 4.535
beta0_pH[15,1,5] 2.142 0.406 1.348 2.129 2.969
beta0_pH[16,1,5] -0.359 0.298 -0.950 -0.372 0.246
beta0_pH[11,2,5] 2.098 0.383 1.364 2.098 2.867
beta0_pH[12,2,5] -0.753 1.148 -3.150 -0.703 1.363
beta0_pH[13,2,5] 4.247 0.428 3.448 4.246 5.104
beta0_pH[14,2,5] 3.172 0.623 2.028 3.141 4.428
beta0_pH[15,2,5] 2.579 0.347 1.931 2.565 3.279
beta0_pH[16,2,5] 4.320 0.718 2.956 4.302 5.816
beta1_pH[1,1,1] 3.431 0.765 2.423 3.254 5.427
beta1_pH[2,1,1] 2.122 0.426 1.458 2.068 3.041
beta1_pH[3,1,1] 2.733 0.741 1.567 2.683 4.349
beta1_pH[4,1,1] 3.224 1.104 1.745 2.990 6.050
beta1_pH[5,1,1] 2.210 0.346 1.604 2.196 2.955
beta1_pH[6,1,1] 1.951 0.534 1.177 1.857 3.270
beta1_pH[7,1,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1,1] 2.104 0.539 1.325 2.035 3.422
beta1_pH[9,1,1] 1.950 0.455 1.282 1.888 3.120
beta1_pH[10,1,1] 2.194 0.320 1.618 2.168 2.907
beta1_pH[11,1,1] 3.328 0.237 2.863 3.327 3.794
beta1_pH[12,1,1] 2.953 0.250 2.463 2.950 3.443
beta1_pH[13,1,1] 2.730 0.245 2.252 2.722 3.220
beta1_pH[14,1,1] 3.332 0.268 2.839 3.323 3.921
beta1_pH[15,1,1] 2.673 0.248 2.199 2.669 3.191
beta1_pH[16,1,1] 3.040 0.252 2.567 3.036 3.547
beta1_pH[1,2,1] 0.409 0.298 0.002 0.375 1.041
beta1_pH[2,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2,1] 0.340 0.289 0.001 0.279 1.014
beta1_pH[5,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2,1] 1.588 0.341 0.968 1.568 2.282
beta1_pH[12,2,1] 1.388 0.458 0.550 1.363 2.309
beta1_pH[13,2,1] 1.566 0.330 0.922 1.554 2.266
beta1_pH[14,2,1] 1.706 0.347 1.081 1.693 2.428
beta1_pH[15,2,1] 1.440 0.414 0.645 1.437 2.243
beta1_pH[16,2,1] 2.362 0.807 1.116 2.241 3.903
beta1_pH[1,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,1,3] 2.794 1.554 0.713 2.414 6.720
beta1_pH[2,1,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,1,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,1,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,1,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,1,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,1,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1,3] 4.356 1.835 2.046 3.947 9.126
beta1_pH[9,1,3] 4.354 1.186 2.560 4.236 7.023
beta1_pH[10,1,3] 5.130 2.222 2.402 4.562 11.025
beta1_pH[11,1,3] 2.170 0.457 1.314 2.161 3.049
beta1_pH[12,1,3] 3.152 0.520 2.121 3.154 4.175
beta1_pH[13,1,3] 1.674 0.412 0.903 1.666 2.512
beta1_pH[14,1,3] 1.770 0.421 0.980 1.758 2.641
beta1_pH[15,1,3] 2.060 0.401 1.281 2.062 2.826
beta1_pH[16,1,3] 3.260 0.532 2.151 3.272 4.266
beta1_pH[1,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2,3] 0.808 0.819 0.118 0.626 2.564
beta1_pH[12,2,3] 0.838 0.604 0.123 0.752 2.080
beta1_pH[13,2,3] 1.422 0.457 0.404 1.444 2.272
beta1_pH[14,2,3] 1.495 0.478 0.569 1.487 2.466
beta1_pH[15,2,3] 0.992 0.471 0.182 0.983 1.878
beta1_pH[16,2,3] 1.883 0.533 0.880 1.874 2.982
beta1_pH[11,1,4] 1.911 0.434 1.050 1.906 2.774
beta1_pH[12,1,4] 3.184 0.512 2.242 3.156 4.269
beta1_pH[13,1,4] 0.826 0.465 0.023 0.814 1.802
beta1_pH[14,1,4] 1.429 0.508 0.528 1.400 2.513
beta1_pH[15,1,4] 0.650 0.404 0.011 0.626 1.480
beta1_pH[16,1,4] 3.200 0.517 2.174 3.195 4.221
beta1_pH[11,2,4] 0.607 0.400 0.017 0.557 1.481
beta1_pH[12,2,4] 0.809 0.451 0.036 0.798 1.731
beta1_pH[13,2,4] 1.289 0.443 0.418 1.288 2.197
beta1_pH[14,2,4] 1.639 0.502 0.681 1.615 2.680
beta1_pH[15,2,4] 0.967 0.439 0.118 0.967 1.834
beta1_pH[16,2,4] 1.867 0.532 0.749 1.863 2.927
beta1_pH[11,1,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,1,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,1,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,1,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,1,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,1,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1,1] 0.441 0.175 0.208 0.409 0.866
beta2_pH[2,1,1] 0.684 0.454 0.208 0.562 1.881
beta2_pH[3,1,1] 0.377 0.362 0.114 0.256 1.397
beta2_pH[4,1,1] 0.318 0.245 0.099 0.246 0.928
beta2_pH[5,1,1] 2.464 2.274 0.464 1.892 8.148
beta2_pH[6,1,1] 1.197 2.104 0.159 0.504 6.947
beta2_pH[7,1,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1,1] 0.830 1.240 0.171 0.416 5.353
beta2_pH[9,1,1] 1.013 1.261 0.180 0.603 5.407
beta2_pH[10,1,1] 1.234 1.262 0.320 0.796 5.508
beta2_pH[11,1,1] 0.884 0.256 0.505 0.843 1.528
beta2_pH[12,1,1] 1.252 0.516 0.688 1.117 2.765
beta2_pH[13,1,1] 0.968 0.388 0.510 0.891 2.016
beta2_pH[14,1,1] 0.937 0.306 0.532 0.890 1.662
beta2_pH[15,1,1] 0.860 0.329 0.421 0.806 1.797
beta2_pH[16,1,1] 0.873 0.285 0.462 0.833 1.627
beta2_pH[1,2,1] 2.247 1.329 0.044 2.357 3.992
beta2_pH[2,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2,1] 2.135 1.402 0.030 2.265 3.991
beta2_pH[5,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2,1] 2.469 1.230 0.499 2.629 3.995
beta2_pH[12,2,1] 2.404 1.346 0.100 2.681 3.994
beta2_pH[13,2,1] 2.512 1.208 0.560 2.703 3.995
beta2_pH[14,2,1] 2.709 1.186 0.500 3.130 3.995
beta2_pH[15,2,1] 2.514 1.226 0.404 2.753 3.995
beta2_pH[16,2,1] 2.447 1.373 0.378 2.770 3.995
beta2_pH[1,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1,3] 2.498 3.970 0.093 0.814 15.356
beta2_pH[2,1,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,1,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,1,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,1,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,1,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,1,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1,3] 2.893 2.900 0.531 1.801 11.349
beta2_pH[9,1,3] 1.378 2.575 0.185 0.526 10.377
beta2_pH[10,1,3] 1.129 2.576 0.130 0.386 9.865
beta2_pH[11,1,3] -7.638 5.335 -19.479 -6.416 -0.664
beta2_pH[12,1,3] -8.374 5.054 -19.504 -7.528 -1.178
beta2_pH[13,1,3] -8.033 5.096 -19.461 -6.829 -1.414
beta2_pH[14,1,3] -8.082 5.080 -19.494 -6.963 -1.390
beta2_pH[15,1,3] -8.065 5.137 -19.471 -6.942 -1.217
beta2_pH[16,1,3] -8.023 5.038 -19.528 -6.663 -1.725
beta2_pH[1,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2,3] -7.580 5.180 -19.338 -6.629 -0.328
beta2_pH[12,2,3] -7.602 5.297 -19.386 -6.552 -0.455
beta2_pH[13,2,3] -7.619 5.281 -19.412 -6.584 -0.604
beta2_pH[14,2,3] -7.753 5.212 -19.379 -6.631 -0.955
beta2_pH[15,2,3] -7.678 5.262 -19.517 -6.521 -0.644
beta2_pH[16,2,3] -7.818 5.068 -19.361 -6.610 -1.151
beta2_pH[11,1,4] -8.638 5.521 -22.557 -7.562 -1.137
beta2_pH[12,1,4] -9.079 5.523 -22.838 -8.139 -1.070
beta2_pH[13,1,4] -8.782 5.539 -22.318 -7.725 -1.113
beta2_pH[14,1,4] -8.803 5.438 -22.691 -7.695 -1.469
beta2_pH[15,1,4] -8.762 5.596 -22.196 -7.716 -0.851
beta2_pH[16,1,4] -8.733 5.391 -22.143 -7.700 -1.561
beta2_pH[11,2,4] -7.557 5.558 -21.358 -6.395 -0.291
beta2_pH[12,2,4] -7.653 5.534 -21.569 -6.527 -0.416
beta2_pH[13,2,4] -7.474 5.560 -21.445 -6.235 -0.474
beta2_pH[14,2,4] -7.772 5.404 -20.681 -6.495 -0.992
beta2_pH[15,2,4] -7.675 5.338 -20.851 -6.452 -0.789
beta2_pH[16,2,4] -7.845 5.325 -20.911 -6.617 -1.107
beta2_pH[11,1,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,1,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,1,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,1,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,1,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,1,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1,1] 35.895 1.606 33.385 35.656 39.589
beta3_pH[2,1,1] 32.381 1.381 29.899 32.346 35.184
beta3_pH[3,1,1] 32.086 2.739 26.759 32.195 37.915
beta3_pH[4,1,1] 34.226 2.779 29.260 33.792 40.806
beta3_pH[5,1,1] 27.471 0.613 26.433 27.442 28.610
beta3_pH[6,1,1] 33.433 2.278 29.435 33.207 38.486
beta3_pH[7,1,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1,1] 34.646 2.800 29.814 34.428 40.133
beta3_pH[9,1,1] 31.551 2.295 28.099 31.326 38.146
beta3_pH[10,1,1] 32.313 1.101 30.281 32.267 34.505
beta3_pH[11,1,1] 30.281 0.561 29.320 30.246 31.440
beta3_pH[12,1,1] 30.531 0.475 29.548 30.542 31.419
beta3_pH[13,1,1] 32.739 0.671 31.466 32.735 34.065
beta3_pH[14,1,1] 32.040 0.579 30.898 32.034 33.148
beta3_pH[15,1,1] 31.233 0.815 29.659 31.227 32.832
beta3_pH[16,1,1] 30.828 0.637 29.520 30.820 32.062
beta3_pH[1,2,1] 34.481 3.328 26.858 34.301 42.228
beta3_pH[2,2,1] 33.960 5.227 25.446 33.867 42.593
beta3_pH[3,2,1] 32.521 6.010 22.544 32.577 42.360
beta3_pH[4,2,1] 31.405 5.373 22.754 29.942 42.341
beta3_pH[5,2,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,2,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,2,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2,1] 35.088 1.433 32.551 34.914 37.723
beta3_pH[12,2,1] 32.209 2.176 29.231 31.675 37.206
beta3_pH[13,2,1] 30.688 1.026 29.059 30.771 32.614
beta3_pH[14,2,1] 32.216 1.195 30.966 31.825 35.547
beta3_pH[15,2,1] 31.065 1.378 29.147 30.979 33.961
beta3_pH[16,2,1] 31.181 1.753 29.113 31.304 32.894
beta3_pH[1,1,2] 33.923 5.213 25.410 33.640 42.549
beta3_pH[2,1,2] 33.889 5.184 25.460 33.723 42.486
beta3_pH[3,1,2] 32.564 6.016 22.461 32.681 42.488
beta3_pH[4,1,2] 32.590 6.063 22.556 32.609 42.541
beta3_pH[5,1,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,1,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,1,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,1,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,1,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,1,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,1,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,1,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,1,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,1,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,1,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,2,2] 33.969 5.199 25.420 34.037 42.533
beta3_pH[2,2,2] 34.051 5.205 25.490 34.006 42.594
beta3_pH[3,2,2] 32.513 6.054 22.576 32.519 42.503
beta3_pH[4,2,2] 32.567 6.023 22.497 32.668 42.511
beta3_pH[5,2,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,2,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,2,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,1,3] 38.649 3.003 31.514 39.622 42.679
beta3_pH[2,1,3] 34.036 5.206 25.420 34.122 42.449
beta3_pH[3,1,3] 32.622 6.152 22.446 33.003 42.526
beta3_pH[4,1,3] 32.478 6.047 22.528 32.562 42.483
beta3_pH[5,1,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,1,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,1,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1,3] 41.929 0.767 40.760 41.770 43.726
beta3_pH[9,1,3] 33.001 0.880 32.033 32.848 34.901
beta3_pH[10,1,3] 36.455 2.440 32.771 35.967 42.647
beta3_pH[11,1,3] 40.675 1.112 38.940 40.687 42.717
beta3_pH[12,1,3] 41.996 0.939 39.241 42.328 42.856
beta3_pH[13,1,3] 41.276 0.774 39.552 41.356 42.687
beta3_pH[14,1,3] 40.296 0.836 38.758 40.245 41.868
beta3_pH[15,1,3] 40.608 0.606 39.241 40.641 41.775
beta3_pH[16,1,3] 42.193 0.402 41.258 42.184 42.891
beta3_pH[1,2,3] 33.979 5.242 25.488 34.049 42.497
beta3_pH[2,2,3] 33.983 5.214 25.436 34.004 42.534
beta3_pH[3,2,3] 32.492 6.062 22.526 32.433 42.531
beta3_pH[4,2,3] 32.613 6.077 22.437 32.653 42.403
beta3_pH[5,2,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,2,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,2,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2,3] 35.748 4.895 29.109 36.758 42.685
beta3_pH[12,2,3] 35.848 4.101 29.309 36.025 42.658
beta3_pH[13,2,3] 40.369 1.584 36.458 40.614 42.643
beta3_pH[14,2,3] 39.638 1.255 36.983 39.817 41.686
beta3_pH[15,2,3] 39.436 2.372 32.143 39.903 42.563
beta3_pH[16,2,3] 41.356 0.834 39.336 41.476 42.696
beta3_pH[11,1,4] 40.243 0.840 38.926 40.162 42.223
beta3_pH[12,1,4] 42.339 0.536 40.561 42.433 42.944
beta3_pH[13,1,4] 41.226 1.708 36.557 41.466 43.794
beta3_pH[14,1,4] 40.500 1.067 38.168 40.581 42.263
beta3_pH[15,1,4] 40.926 1.962 36.046 41.175 43.763
beta3_pH[16,1,4] 41.898 0.524 40.968 41.923 42.886
beta3_pH[11,2,4] 39.568 2.568 34.542 39.811 43.689
beta3_pH[12,2,4] 38.720 2.734 34.583 38.420 43.687
beta3_pH[13,2,4] 39.826 1.885 35.757 40.106 43.307
beta3_pH[14,2,4] 39.680 1.117 37.306 39.776 41.677
beta3_pH[15,2,4] 39.756 1.847 36.029 39.990 43.020
beta3_pH[16,2,4] 41.317 0.942 39.177 41.435 42.892
beta3_pH[11,1,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,1,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,1,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,1,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,1,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,1,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,2,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,2,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,2,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,2,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,2,5] 25.000 0.000 25.000 25.000 25.000
beta0_pelagic[1] 2.222 0.105 2.012 2.225 2.422
beta0_pelagic[2] 1.489 0.098 1.303 1.485 1.690
beta0_pelagic[3] 0.181 0.224 -0.278 0.198 0.571
beta0_pelagic[4] 0.287 0.225 -0.244 0.308 0.672
beta0_pelagic[5] 1.412 0.182 1.058 1.409 1.773
beta0_pelagic[6] 1.374 0.122 1.139 1.376 1.611
beta0_pelagic[7] 1.496 0.113 1.279 1.497 1.720
beta0_pelagic[8] 1.726 0.115 1.502 1.724 1.962
beta0_pelagic[9] 2.764 0.128 2.521 2.762 3.015
beta0_pelagic[10] 2.551 0.104 2.339 2.552 2.752
beta0_pelagic[11] -0.237 0.266 -0.948 -0.199 0.184
beta0_pelagic[12] 1.785 0.110 1.574 1.783 2.008
beta0_pelagic[13] -0.091 0.479 -1.316 0.057 0.453
beta0_pelagic[14] -0.614 0.269 -1.245 -0.575 -0.174
beta0_pelagic[15] -0.265 0.107 -0.474 -0.260 -0.066
beta0_pelagic[16] -0.277 0.360 -1.189 -0.205 0.252
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.704 0.237 0.266 0.688 1.196
beta1_pelagic[4] 0.823 0.241 0.382 0.816 1.351
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.272 0.387 0.831 1.195 2.507
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 1.670 0.808 0.583 1.471 3.347
beta1_pelagic[14] 2.385 0.702 1.458 2.174 3.880
beta1_pelagic[15] 0.592 0.356 0.113 0.548 1.443
beta1_pelagic[16] 1.477 0.519 0.718 1.386 2.679
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.515 5.843 0.281 4.850 20.936
beta2_pelagic[4] 7.600 6.159 0.427 6.107 22.150
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.543 1.221 0.153 1.155 4.917
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.759 1.050 0.086 0.337 4.160
beta2_pelagic[14] 0.519 0.417 0.151 0.404 1.545
beta2_pelagic[15] 2.817 1.853 0.277 2.408 7.198
beta2_pelagic[16] 0.775 1.022 0.121 0.375 4.291
beta3_pelagic[1] 30.955 6.864 19.622 30.924 42.372
beta3_pelagic[2] 30.908 6.858 19.586 30.831 42.272
beta3_pelagic[3] 27.930 2.750 23.310 28.412 32.367
beta3_pelagic[4] 25.768 1.375 22.669 26.106 27.978
beta3_pelagic[5] 29.553 6.659 18.540 29.336 40.424
beta3_pelagic[6] 29.442 6.687 18.521 29.327 40.477
beta3_pelagic[7] 29.501 6.589 18.627 29.413 40.350
beta3_pelagic[8] 29.388 6.683 18.671 29.355 40.431
beta3_pelagic[9] 29.485 6.659 18.562 29.312 40.468
beta3_pelagic[10] 29.469 6.624 18.505 29.348 40.401
beta3_pelagic[11] 29.929 1.317 27.269 29.957 32.458
beta3_pelagic[12] 30.930 6.906 19.661 30.951 42.424
beta3_pelagic[13] 35.606 3.789 26.562 36.039 41.481
beta3_pelagic[14] 34.247 1.953 31.522 33.814 39.106
beta3_pelagic[15] 40.003 3.179 30.208 40.864 42.788
beta3_pelagic[16] 31.800 2.556 26.496 31.648 36.876
beta0_yellow[1] -0.481 0.151 -0.778 -0.479 -0.187
beta0_yellow[2] 0.541 0.199 0.039 0.563 0.851
beta0_yellow[3] -0.165 0.201 -0.571 -0.162 0.207
beta0_yellow[4] 0.988 0.206 0.486 1.007 1.348
beta0_yellow[5] 0.386 0.336 -0.365 0.428 0.935
beta0_yellow[6] 0.810 0.157 0.506 0.808 1.121
beta0_yellow[7] 0.955 0.160 0.657 0.953 1.276
beta0_yellow[8] 0.977 0.162 0.669 0.974 1.301
beta0_yellow[9] 0.529 0.167 0.194 0.534 0.842
beta0_yellow[10] 0.676 0.139 0.405 0.678 0.953
beta0_yellow[11] -0.192 0.150 -0.493 -0.186 0.098
beta0_yellow[12] -1.121 0.165 -1.443 -1.122 -0.786
beta0_yellow[13] -1.221 0.163 -1.538 -1.221 -0.901
beta0_yellow[14] -0.155 0.165 -0.469 -0.157 0.176
beta0_yellow[15] -1.237 0.152 -1.557 -1.233 -0.943
beta0_yellow[16] -0.279 0.167 -0.616 -0.278 0.043
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.032 0.358 0.523 0.985 2.118
beta1_yellow[3] 0.451 0.267 0.016 0.456 0.958
beta1_yellow[4] 1.185 0.415 0.571 1.133 2.363
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.154 5.801 -21.146 -5.892 -0.162
beta2_yellow[3] -6.949 5.030 -19.862 -6.182 -0.406
beta2_yellow[4] -6.854 6.008 -21.487 -5.449 -0.178
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.119 1.577 26.992 28.777 32.939
beta3_yellow[3] 33.097 3.342 25.257 32.861 40.620
beta3_yellow[4] 28.233 2.439 24.770 27.671 35.175
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] 0.049 0.180 -0.307 0.047 0.404
beta0_black[2] 1.907 0.171 1.565 1.908 2.247
beta0_black[3] 1.397 0.177 1.048 1.395 1.752
beta0_black[4] 2.523 0.177 2.183 2.523 2.868
beta0_black[5] 4.844 2.302 1.822 4.382 10.649
beta0_black[6] 4.885 2.191 2.316 4.304 10.701
beta0_black[7] 3.795 2.065 1.502 3.179 9.599
beta0_black[8] 1.087 0.276 0.550 1.083 1.622
beta0_black[9] 2.702 0.297 2.128 2.703 3.284
beta0_black[10] 1.377 0.177 1.036 1.374 1.731
beta0_black[11] 2.974 0.182 2.617 2.972 3.333
beta0_black[12] 4.856 0.240 4.381 4.853 5.325
beta0_black[13] 0.321 0.234 0.016 0.277 0.864
beta0_black[14] 2.844 0.197 2.465 2.844 3.242
beta0_black[15] 1.292 0.192 0.912 1.291 1.672
beta0_black[16] 3.771 0.190 3.391 3.771 4.144
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.541 1.649 -6.484 -2.146 -0.455
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.604 1.310 35.843 38.844 40.508
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.341 0.241 -0.818 -0.341 0.133
beta4_black[2] 0.269 0.234 -0.188 0.270 0.729
beta4_black[3] -1.025 0.237 -1.501 -1.022 -0.568
beta4_black[4] 0.566 0.270 0.022 0.574 1.077
beta4_black[5] 0.826 1.674 -1.418 0.519 4.820
beta4_black[6] 0.945 1.701 -1.091 0.594 5.352
beta4_black[7] 0.821 1.597 -1.112 0.492 4.631
beta4_black[8] -0.263 0.369 -0.999 -0.262 0.454
beta4_black[9] 1.103 0.925 -0.172 0.917 3.424
beta4_black[10] 0.104 0.226 -0.345 0.111 0.537
beta4_black[11] -0.600 0.245 -1.087 -0.600 -0.106
beta4_black[12] 0.670 0.380 -0.067 0.665 1.432
beta4_black[13] -1.227 0.257 -1.727 -1.226 -0.725
beta4_black[14] 0.099 0.287 -0.451 0.099 0.688
beta4_black[15] -1.008 0.252 -1.502 -1.006 -0.505
beta4_black[16] -0.454 0.262 -0.964 -0.458 0.078
beta0_dsr[11] -0.585 0.169 -0.927 -0.583 -0.254
beta0_dsr[12] 1.451 0.179 1.110 1.450 1.802
beta0_dsr[13] 0.082 0.160 -0.235 0.082 0.403
beta0_dsr[14] -0.138 0.170 -0.470 -0.136 0.203
beta0_dsr[15] 0.020 0.163 -0.310 0.023 0.337
beta0_dsr[16] -0.087 0.169 -0.433 -0.086 0.232
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 1.049 0.222 0.601 1.049 1.477
beta4_dsr[12] 0.711 0.324 0.083 0.712 1.344
beta4_dsr[13] 0.158 0.216 -0.264 0.157 0.587
beta4_dsr[14] -0.085 0.242 -0.583 -0.079 0.374
beta4_dsr[15] 0.723 0.209 0.321 0.726 1.138
beta4_dsr[16] 0.446 0.229 -0.015 0.447 0.883
beta0_slope[11] -1.910 0.206 -2.323 -1.907 -1.496
beta0_slope[12] -5.443 0.348 -6.165 -5.438 -4.773
beta0_slope[13] -1.289 0.217 -1.705 -1.296 -0.849
beta0_slope[14] -2.574 0.224 -3.040 -2.573 -2.144
beta0_slope[15] -1.277 0.210 -1.680 -1.279 -0.867
beta0_slope[16] -2.320 0.204 -2.722 -2.323 -1.921
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.789 0.280 -1.356 -0.792 -0.229
beta4_slope[12] -3.889 0.925 -5.774 -3.846 -2.152
beta4_slope[13] -0.016 0.281 -0.596 -0.011 0.519
beta4_slope[14] -0.379 0.337 -1.015 -0.383 0.279
beta4_slope[15] -0.914 0.277 -1.487 -0.921 -0.384
beta4_slope[16] -0.673 0.290 -1.233 -0.675 -0.114
beta5_slope[11] 2.623 0.313 1.999 2.622 3.223
beta5_slope[12] 1.606 0.530 0.558 1.612 2.652
beta5_slope[13] 1.354 0.314 0.737 1.353 1.962
beta5_slope[14] 3.485 0.467 2.605 3.481 4.418
beta5_slope[15] 1.685 0.314 1.062 1.685 2.311
beta5_slope[16] 2.841 0.397 2.101 2.836 3.648
tau_comp[1] 4.046 0.305 3.482 4.037 4.667
tau_comp[2] 2.579 0.213 2.189 2.570 3.016
tau_comp[3] 1.361 0.101 1.169 1.358 1.568
tau_comp[4] 2.446 0.312 1.877 2.426 3.106
tau_comp[5] 1.505 0.204 1.140 1.491 1.935
sigma_H[1] 0.208 0.049 0.124 0.204 0.316
sigma_H[2] 0.172 0.028 0.126 0.169 0.234
sigma_H[3] 0.181 0.040 0.110 0.179 0.268
sigma_H[4] 0.465 0.080 0.335 0.455 0.643
sigma_H[5] 0.964 0.203 0.583 0.953 1.388
sigma_H[6] 0.521 0.185 0.140 0.522 0.884
sigma_H[7] 0.314 0.063 0.214 0.305 0.468
sigma_H[8] 0.423 0.093 0.273 0.416 0.615
sigma_H[9] 0.517 0.119 0.333 0.501 0.793
sigma_H[10] 0.213 0.039 0.145 0.210 0.300
sigma_H[11] 0.265 0.045 0.191 0.261 0.363
sigma_H[12] 0.378 0.147 0.195 0.334 0.718
sigma_H[13] 0.219 0.037 0.156 0.216 0.300
sigma_H[14] 0.498 0.088 0.347 0.492 0.687
sigma_H[15] 0.240 0.038 0.174 0.236 0.323
sigma_H[16] 0.221 0.041 0.153 0.216 0.316
lambda_H[1] 2.240 3.590 0.084 0.984 11.512
lambda_H[2] 5.359 5.084 0.507 3.781 18.791
lambda_H[3] 4.274 5.975 0.257 2.420 20.807
lambda_H[4] 0.006 0.004 0.001 0.005 0.017
lambda_H[5] 2.333 6.055 0.018 0.558 15.969
lambda_H[6] 7.461 15.824 0.008 0.490 51.071
lambda_H[7] 0.012 0.008 0.002 0.010 0.033
lambda_H[8] 8.136 10.456 0.104 4.375 37.553
lambda_H[9] 0.015 0.010 0.003 0.013 0.039
lambda_H[10] 0.229 0.283 0.027 0.159 0.842
lambda_H[11] 0.223 0.366 0.010 0.098 1.080
lambda_H[12] 3.606 4.577 0.176 2.125 16.299
lambda_H[13] 3.262 2.898 0.294 2.442 10.750
lambda_H[14] 3.297 3.874 0.228 2.166 13.022
lambda_H[15] 0.021 0.089 0.003 0.014 0.065
lambda_H[16] 0.960 1.397 0.053 0.502 4.784
mu_lambda_H[1] 4.029 1.903 1.064 3.790 8.243
mu_lambda_H[2] 3.704 1.918 0.573 3.575 7.692
mu_lambda_H[3] 3.397 1.816 0.750 3.140 7.538
sigma_lambda_H[1] 8.029 4.377 1.709 7.174 17.919
sigma_lambda_H[2] 8.233 4.719 0.983 7.806 18.229
sigma_lambda_H[3] 6.085 3.935 0.977 5.166 16.335
beta_H[1,1] 6.487 1.325 3.447 6.740 8.455
beta_H[2,1] 9.752 0.621 8.404 9.790 10.868
beta_H[3,1] 7.790 0.800 5.833 7.873 9.129
beta_H[4,1] 10.557 7.728 -5.057 10.612 25.469
beta_H[5,1] -0.444 2.900 -6.286 -0.251 4.314
beta_H[6,1] 3.172 4.305 -7.645 4.718 8.064
beta_H[7,1] 0.881 5.817 -11.704 1.340 10.917
beta_H[8,1] 1.245 3.207 -2.634 1.242 3.545
beta_H[9,1] 13.568 5.665 2.382 13.471 25.075
beta_H[10,1] 6.849 1.881 2.867 6.882 10.661
beta_H[11,1] 4.779 3.570 -2.915 5.398 9.964
beta_H[12,1] 2.609 1.135 0.610 2.546 5.074
beta_H[13,1] 9.101 0.819 7.271 9.153 10.556
beta_H[14,1] 2.136 1.059 0.197 2.142 4.175
beta_H[15,1] -6.913 3.524 -13.174 -7.085 0.713
beta_H[16,1] 3.244 2.413 -0.762 3.022 8.559
beta_H[1,2] 7.786 0.269 7.262 7.786 8.325
beta_H[2,2] 9.887 0.161 9.564 9.887 10.202
beta_H[3,2] 8.832 0.198 8.451 8.833 9.220
beta_H[4,2] 3.037 1.438 0.350 3.008 5.894
beta_H[5,2] 1.697 1.037 -0.368 1.707 3.656
beta_H[6,2] 6.011 1.132 3.455 6.205 7.793
beta_H[7,2] 2.482 1.096 0.514 2.412 4.760
beta_H[8,2] 3.019 0.988 1.386 3.145 4.230
beta_H[9,2] 3.113 1.082 1.074 3.085 5.342
beta_H[10,2] 8.002 0.368 7.242 8.013 8.708
beta_H[11,2] 9.848 0.649 8.836 9.764 11.244
beta_H[12,2] 3.937 0.371 3.213 3.930 4.687
beta_H[13,2] 9.141 0.234 8.707 9.132 9.623
beta_H[14,2] 4.028 0.335 3.415 4.026 4.694
beta_H[15,2] 11.514 0.645 10.129 11.550 12.695
beta_H[16,2] 4.574 0.777 3.072 4.586 6.099
beta_H[1,3] 8.436 0.268 7.937 8.432 8.979
beta_H[2,3] 9.872 0.144 9.592 9.870 10.157
beta_H[3,3] 9.523 0.163 9.217 9.516 9.858
beta_H[4,3] -2.223 0.841 -3.897 -2.204 -0.614
beta_H[5,3] 3.901 0.632 2.644 3.903 5.105
beta_H[6,3] 8.352 1.212 6.618 8.033 10.952
beta_H[7,3] -2.660 0.633 -3.922 -2.663 -1.426
beta_H[8,3] 5.268 0.481 4.688 5.190 6.333
beta_H[9,3] -2.642 0.696 -4.008 -2.641 -1.323
beta_H[10,3] 8.521 0.282 7.990 8.514 9.066
beta_H[11,3] 8.486 0.293 7.874 8.505 9.004
beta_H[12,3] 5.261 0.330 4.470 5.307 5.793
beta_H[13,3] 8.880 0.168 8.546 8.882 9.211
beta_H[14,3] 5.776 0.273 5.178 5.793 6.261
beta_H[15,3] 10.284 0.303 9.682 10.276 10.879
beta_H[16,3] 6.498 0.524 5.407 6.535 7.412
beta_H[1,4] 8.088 0.190 7.695 8.095 8.436
beta_H[2,4] 9.869 0.126 9.609 9.876 10.095
beta_H[3,4] 10.021 0.155 9.696 10.031 10.303
beta_H[4,4] 11.824 0.457 10.883 11.826 12.727
beta_H[5,4] 5.611 0.801 4.329 5.511 7.436
beta_H[6,4] 7.194 0.921 5.171 7.428 8.516
beta_H[7,4] 8.555 0.348 7.859 8.557 9.238
beta_H[8,4] 6.687 0.252 6.207 6.698 7.128
beta_H[9,4] 7.392 0.439 6.548 7.386 8.271
beta_H[10,4] 7.492 0.219 7.070 7.483 7.939
beta_H[11,4] 9.508 0.196 9.119 9.507 9.902
beta_H[12,4] 7.250 0.197 6.885 7.246 7.671
beta_H[13,4] 9.064 0.143 8.772 9.067 9.335
beta_H[14,4] 7.830 0.214 7.402 7.825 8.275
beta_H[15,4] 9.456 0.222 9.025 9.458 9.885
beta_H[16,4] 9.356 0.219 8.963 9.339 9.814
beta_H[1,5] 8.888 0.156 8.563 8.898 9.178
beta_H[2,5] 10.678 0.097 10.495 10.677 10.880
beta_H[3,5] 10.824 0.158 10.527 10.823 11.156
beta_H[4,5] 8.336 0.488 7.384 8.331 9.331
beta_H[5,5] 5.016 0.683 3.317 5.126 6.073
beta_H[6,5] 8.743 0.596 7.796 8.641 10.076
beta_H[7,5] 6.544 0.344 5.880 6.538 7.241
beta_H[8,5] 8.202 0.206 7.871 8.184 8.634
beta_H[9,5] 8.190 0.461 7.281 8.202 9.076
beta_H[10,5] 9.992 0.227 9.555 9.989 10.455
beta_H[11,5] 11.597 0.223 11.156 11.598 12.032
beta_H[12,5] 8.605 0.185 8.236 8.607 8.984
beta_H[13,5] 10.119 0.129 9.879 10.115 10.384
beta_H[14,5] 9.255 0.210 8.845 9.250 9.686
beta_H[15,5] 11.312 0.235 10.841 11.312 11.764
beta_H[16,5] 9.905 0.169 9.549 9.911 10.209
beta_H[1,6] 10.139 0.244 9.759 10.103 10.738
beta_H[2,6] 11.464 0.112 11.244 11.464 11.694
beta_H[3,6] 10.569 0.158 10.244 10.578 10.851
beta_H[4,6] 12.932 0.881 11.206 12.937 14.633
beta_H[5,6] 5.707 0.718 4.537 5.650 7.262
beta_H[6,6] 8.618 0.574 7.364 8.643 9.685
beta_H[7,6] 10.540 0.600 9.346 10.544 11.696
beta_H[8,6] 9.478 0.256 8.992 9.489 9.902
beta_H[9,6] 8.242 0.761 6.778 8.241 9.755
beta_H[10,6] 9.121 0.341 8.377 9.151 9.709
beta_H[11,6] 10.694 0.366 9.916 10.725 11.319
beta_H[12,6] 9.365 0.234 8.921 9.353 9.843
beta_H[13,6] 11.074 0.151 10.780 11.072 11.364
beta_H[14,6] 9.926 0.281 9.376 9.933 10.458
beta_H[15,6] 10.523 0.418 9.725 10.533 11.336
beta_H[16,6] 10.645 0.228 10.150 10.658 11.064
beta_H[1,7] 10.153 1.249 7.041 10.455 11.915
beta_H[2,7] 12.102 0.515 10.992 12.141 13.040
beta_H[3,7] 10.101 0.666 8.648 10.149 11.289
beta_H[4,7] 1.370 4.533 -7.334 1.274 10.614
beta_H[5,7] 5.812 2.432 0.730 5.936 10.100
beta_H[6,7] 7.241 3.099 -0.796 8.296 11.087
beta_H[7,7] 7.613 3.072 1.660 7.540 13.762
beta_H[8,7] 10.806 0.952 9.095 10.794 12.551
beta_H[9,7] 5.119 3.914 -2.661 5.138 12.693
beta_H[10,7] 9.968 1.611 7.169 9.849 13.409
beta_H[11,7] 11.404 1.822 8.175 11.245 15.402
beta_H[12,7] 9.776 0.950 7.761 9.840 11.344
beta_H[13,7] 11.710 0.679 10.255 11.754 12.890
beta_H[14,7] 10.646 0.908 8.812 10.656 12.389
beta_H[15,7] 14.036 2.243 9.649 14.018 18.506
beta_H[16,7] 12.565 1.241 10.561 12.393 15.357
beta0_H[1] 8.555 17.520 -25.915 8.783 45.429
beta0_H[2] 10.656 7.793 -4.998 10.536 26.435
beta0_H[3] 9.950 10.631 -11.551 9.846 32.917
beta0_H[4] 8.402 177.388 -331.012 6.649 378.718
beta0_H[5] 3.974 33.771 -59.274 4.152 67.684
beta0_H[6] 7.224 47.280 -101.892 7.732 115.059
beta0_H[7] 2.098 139.632 -276.640 5.469 283.047
beta0_H[8] 7.521 40.625 -18.125 6.672 29.928
beta0_H[9] 3.076 119.515 -236.775 3.299 249.296
beta0_H[10] 9.799 37.566 -65.092 9.499 88.593
beta0_H[11] 8.718 54.757 -108.569 8.716 121.004
beta0_H[12] 6.246 14.082 -19.294 6.547 32.241
beta0_H[13] 9.502 10.054 -12.475 9.861 27.389
beta0_H[14] 7.007 12.096 -15.479 6.850 30.297
beta0_H[15] 11.617 113.550 -215.709 10.880 244.998
beta0_H[16] 7.955 23.073 -36.985 8.224 54.801